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The (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation: its solitons and Jacobi elliptic function solutions

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Abstract

The search for exact solutions of nonlinear evolution models with different wave structures has achieved significant attention in recent decades. The present paper studies a nonlinear (2 + 1)-dimensional evolution model describing the propagation of nonlinear waves in Heisenberg ferromagnetic spin chain system. The intended aim is carried out by considering a specific transformation and adopting a modified version of the Jacobi elliptic expansion method. As a result, a number of solitons and Jacobi elliptic function solutions to the Heisenberg ferromagnetic spin chain equation are formally derived. Several three-dimensional plots are presented to demonstrate the dynamical features of the bright and dark soliton solutions.

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Acknowledgements

The authors would like to thank the editor and the anonymous referees for their valuable comments.

Author information

Authors and Affiliations

  1. Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey

    Kamyar Hosseini & Soheil Salahshour

  2. Department of Engineering Sciences, Faculty of Technology and Engineering, East of Guilan, University of Guilan, 44891-63157, Rudsar-Vajargah, Iran

    Mohammad Mirzazadeh

  3. Institute of IR 4.0, The National University of Malaysia, 43600, Bangi, Selangor, Malaysia

    Ali Ahmadian

  4. Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, 06530, Ankara, Turkey

    Dumitru Baleanu

  5. Institute of Space Sciences, 76900, Magurele-Bucharest, Romania

    Dumitru Baleanu

  6. Department of Mechanical Engineering, Lashtenesha-Zibakenar Branch, Islamic Azad University, Lashtenesha-Zibakenar, Iran

    Arian Khoshrang

Authors
  1. Kamyar Hosseini
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  2. Soheil Salahshour
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  3. Mohammad Mirzazadeh
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  4. Ali Ahmadian
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  5. Dumitru Baleanu
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  6. Arian Khoshrang
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Correspondence to Dumitru Baleanu.

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Hosseini, K., Salahshour, S., Mirzazadeh, M. et al. The (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation: its solitons and Jacobi elliptic function solutions. Eur. Phys. J. Plus 136, 206 (2021). https://doi.org/10.1140/epjp/s13360-021-01160-1

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  • DOI: https://doi.org/10.1140/epjp/s13360-021-01160-1

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